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#Complex Manifolds

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University of Chicago Department of Mathematics

The Weil Conjectures and A1-homotopy Theory

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Dive into the Weil Conjectures and A1-homotopy theory, exploring connections between algebraic topology and finite field equations in this mathematical colloquium.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
IMSA

The Calabi Problem from a Birational Geometer's Viewpoint - Part 2

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Explore the Calabi problem in Fano manifolds, focusing on recent developments in birational geometry and K-polystability. Gain insights from a renowned algebraic geometer.
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1 Lesons
53 minutes
On-Demand
Free-Video
IMSA

The Calabi Problem from a Birational Geometer's Viewpoint - Part 1

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Explore the Calabi problem in complex geometry, focusing on Kähler-Einstein metrics and recent developments in birational geometry. Learn from renowned algebraic geometer Carolina Araujo.
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1 Lesons
54 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge: Variedade de Fermat I - Aula 17

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Explore a Teoria de Hodge aplicada à variedade de Fermat, aprofundando-se em conceitos avançados de geometria algébrica e topologia.
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1 Lesons
53 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 18

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Explore conceitos avançados de Superfícies de Riemann em uma aula de doutorado ministrada pelo Prof. Paulo Sad, aprofundando o conhecimento em geometria complexa.
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1 Lesons
1 hour 15 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 17

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Aprofunde-se na teoria das Superfícies de Riemann com foco em tópicos avançados de doutorado, explorando conceitos complexos e suas aplicações na matemática pura.
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1 Lesons
1 hour 25 minutes
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Instituto de Matemática Pura e Aplicada

Teoria de Hodge: Gauss-Manin Connection - Aula 16

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Explore a conexão de Gauss-Manin na Teoria de Hodge, aprofundando-se em conceitos avançados de matemática pura aplicada ao doutorado.
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1 Lesons
55 minutes
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Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 24

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Aprofunde-se na teoria das Superfícies de Riemann com o Professor Paulo Sad, explorando conceitos avançados e aplicações em geometria complexa e topologia algébrica.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 22

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Explore conceitos avançados de Superfícies de Riemann em nível de doutorado, aprofundando-se na teoria matemática complexa e suas aplicações.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 21

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Aprofunde-se na teoria das Superfícies de Riemann com o Professor Paulo Sad, explorando conceitos avançados e aplicações em geometria complexa e topologia algébrica.
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1 Lesons
1 hour 19 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Superfícies de Riemann - Aula 20

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Aprofunde-se nas complexidades das Superfícies de Riemann nesta aula avançada de doutorado, explorando conceitos fundamentais e aplicações na geometria complexa.
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1 Lesons
1 hour 21 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge da Variedade de Fermat - Aula 18

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Explore a Teoria de Hodge aplicada à variedade de Fermat, aprofundando-se em conceitos avançados de geometria algébrica e topologia.
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1 Lesons
59 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

The Minimal Model Program for Varieties of Log General Type - Lecture 3

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Delve into advanced birational geometry and minimal model program concepts with Distinguished Professor Christopher Hacon, exploring complex projective varieties and canonical ring theory.
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1 Lesons
1 hour 52 minutes
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Free-Video
IMSA

Rigid Compact Complex Manifolds - Properties and Examples

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Explore rigid compact complex manifolds, their properties, and recent findings in product-quotient varieties, addressing long-standing questions in algebraic geometry.
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16 Lesons
50 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

From Local to Global Holomorphic Peak Functions - Lecture 1

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Explore holomorphic peak functions in complex analysis, from local to global perspectives. Gain insights into Cauchy-Riemann equations, L2-theory, and applications in higher-dimensional complex manifolds.
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9 Lesons
1 hour 2 minutes
On-Demand
Free-Video
IMSA

Extensions in MHM and Hain's Biextension Line Bundle - Part 2

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Explores biextension line bundles, their extensions, and algebraic structures. Presents a formula for Q-line bundles, building on Hain and Pearlstein's work on normal functions and complex manifolds.
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1 Lesons
58 minutes
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Free-Video
IMSA

Extensions in MHM and Hain's Biextension Line Bundle - Part 1

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Explore complex manifolds, biextension line bundles, and normal functions in algebraic geometry. Discover formulas for Q-line bundle extensions and their topological invariants.
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1 Lesons
49 minutes
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IMSA

On Nilpotent Quotients of Quasi-Kähler Groups

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Exploration of nilpotent quotients of quasi-Kähler groups, focusing on smooth complex quasi-projective manifolds and their quasi-Albanese maps, with implications for holomorphic convexity and special manifolds.
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1 Lesons
35 minutes
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IMSA

Intersection of Quadrics, Moment-Angle Manifolds, Complex and Quaternionic Manifolds and Convex Polytope

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Explore LVM manifolds, toric manifolds, and their quaternionic extensions. Gain insights into the intersection of quadrics, moment-angle manifolds, and convex polytopes in complex and quaternionic settings.
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1 Lesons
53 minutes
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Free-Video
ICTP Mathematics

Tautological Rings of Moduli Spaces of Curves - Lecture 3

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Explore advanced concepts in algebraic geometry, focusing on tautological rings and their relation to moduli spaces of curves in this in-depth mathematical lecture.
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1 Lesons
1 hour
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Free-Video
IMSA

Twistor Spaces and Compact Manifolds Admitting Kähler and Non-Kähler Structures

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Explore twistor spaces and compact manifolds with dual Kähler and non-Kähler structures. Discover historical examples and new findings in higher dimensions using quaternion twistor spaces of hyperkähler manifolds.
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1 Lesons
32 minutes
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Free-Video
Fields Institute

Cohomology and Geometric Quantization of Toric Manifolds

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Explore cohomology and geometric quantization in toric manifolds with expert Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.
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1 Lesons
52 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Quantized Integrable Systems, Normal Forms, and Variation of Hodge Structures

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Explore quantum Hamiltonians' Birkhoff normal forms, linking quantized integrable systems to Hodge structure variations in complex symplectic geometry.
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1 Lesons
1 hour 20 minutes
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Free-Video
Centre International de Rencontres Mathématiques

Foliations on Homogeneous Varieties - Brazil-France School on Foliation Theory

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Explore foliations on homogeneous varieties in this advanced mathematical lecture from the Brazil-France School on Foliation Theory.
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1 Lesons
36 minutes
On-Demand
Free-Video
IPhT-TV

Moduli Space of Curves and Its Intersection Theory - Lecture 1

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Explore the moduli space of curves and its intersection theory in this advanced mathematical lecture by Nitin Kumar Chidambaram.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Isolated and Parameterized Points on Algebraic Curves

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Explore isolated and parameterized points on algebraic curves, examining their behavior in families and implications for elliptic curve arithmetic. Gain insights into curve geometry and its connection to arithmetic properties.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Ball Quotients and Algebraic Geometry - ICBS 2024

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Explore ball quotients in algebraic geometry, focusing on moduli spaces, Kaehler metrics, and their connections to sporadic finite simple groups. Examine known examples and recent progress on the Allcock ball quotient.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
BIMSA

Exotic Calabi-Yau Metric and Holomorphic Fibration

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Explore complete Calabi-Yau metrics, from historical developments to recent constructions on C^3, with insights into collapsing metrics on Calabi-Yau 3-folds.
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1 Lesons
48 minutes
On-Demand
Free-Video
BIMSA

Rigidity and Multiplicity of Singularities Associated to Ample Vector Bundles

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Explore rigidity and multiplicity of singularities in ample vector bundles, focusing on irreducible desingularization and multiplicity formulas for isolated singularities.
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1 Lesons
59 minutes
On-Demand
Free-Video
BIMSA

Recent Progress on Gamma Conjectures - ICBS 2024

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Explore recent advancements in Gamma conjectures, including modifications to Gamma conjecture I and its application over Kähler moduli space.
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1 Lesons
1 hour 7 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore vertex algebras derived from the Hull Strominger system in complex manifolds, delving into special holonomy and geometric structures. Gain insights into advanced mathematical concepts and their applications.
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1 Lesons
56 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore cubic differentials and harmonic maps in asymptotic cones, delving into special holonomy and geometric structures on complex manifolds. Gain insights from expert John Loftin.
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1 Lesons
58 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore complex manifolds, special holonomy, and geometric structures. Delve into relationships between differential, complex, and algebraic geometry, with applications in physics and symplectic geometry.
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1 Lesons
51 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore 3-(α, δ)-Sasaki manifolds and strongly positive curvature in complex geometry. Delve into special holonomy, geometric structures, and their connections to various mathematical fields.
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1 Lesons
58 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore non-Kähler manifolds through mapping tori in this advanced mathematics lecture, delving into special geometric structures, Lie group actions, and their connections to various mathematical fields.
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1 Lesons
49 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore advanced geometric structures on complex manifolds, focusing on special holonomy and its connections to various mathematical fields and theoretical physics.
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1 Lesons
52 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Killing and Ricci-Hessian Equations in Pseudo-Kähler Geometry - Special Holonomy and Geometric Structures on Complex Manifolds

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Explore Killing and Ricci-Hessian equations in (pseudo)Kähler geometry. Delve into special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
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1 Lesons
58 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore SU(2)-structure flows in complex manifolds, delving into special holonomy and geometric structures. Gain insights into differential geometry's connections with complex geometry, physics, and symplectic geometry.
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1 Lesons
52 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 4

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Explore higher dimensional Fano varieties in algebraic geometry. Delve into advanced concepts and recent developments in this field with expert insights from UCLA researcher Joaquín Moraga.
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1 Lesons
1 hour 34 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 1

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Explore higher dimensional Fano varieties in this advanced algebraic geometry lecture. Delve into complex mathematical concepts and theories presented by expert Joaquín Moraga from UCLA.
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1 Lesons
1 hour 24 minutes
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Free-Video
Instituto de Matemática Pura e Aplicada

Foliation Theory and Algebraic Geometry

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Explore degrees of foliation space components via P1xP1 pullbacks. Dive into advanced algebraic geometry and holomorphic foliation theory with expert Viviana Ferrer.
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1 Lesons
34 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore special holonomy and geometric structures on complex manifolds, delving into Lie group actions, differential geometry, and connections to various mathematical fields.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore stability of critical points in self dual abelian YMH energy on Kähler manifolds. Delve into special geometric structures, complex geometry, and their connections to physics and symplectic geometry.
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1 Lesons
55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Special Holonomy and Geometric Structures on Complex Manifolds

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Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
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1 Lesons
54 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Fano Manifolds and the Lefschetz Defect - Class 4

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Explore Fano manifolds and Lefschetz defect in this advanced algebraic geometry lecture. Gain insights into complex mathematical concepts and their applications in modern research.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Galileo Galilei Institute

A Skein Theoretic Approach to CFT Correlators - Part 1 of 3

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Explore complex CFT, vertex algebras, and algebraic structures in this comprehensive lecture on skein theoretic approaches to correlators in conformal field theory.
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19 Lesons
1 hour 53 minutes
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Free-Video
NCCR SwissMAP

Integer Quantum Hall Effect on Complex Manifolds - A Probabilistic View

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Explore geometric and analytic aspects of the Quantum Hall effect on complex manifolds through a probabilistic lens. Gain insights into advanced quantum physics concepts.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video